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Olin [163]
2 years ago
12

The cost of a package of ground beef (y) is directly proportional to its weight in ounces (x). A 14-ounce package costs $7. Writ

e a direct variation equation to represent this situation.
Mathematics
1 answer:
Sonja [21]2 years ago
5 0

Answer:

y = \dfrac{1}{2}x

Step-by-step explanation:

The standard equation of direct variation is

y = kx

where k = constant of variation

We start with

y = kx

Since we are give one ordered pair, we use its coordinates for x and y, and we solve for k. We are told that when x = 14 ounces, y = $7.

7 = k * 14

k = 7/14

k = 1/2

Now that we know k = 1/2, we can write the direct variation equation:

y = \dfrac{1}{2}x

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finlep [7]

Answer:

g(f(-2)) = -15

Step-by-step explanation:

• f(x) = x³

Then

f(-2) = (-2)³ = -8

• When x = -2 → g(f(x)) = g(f(-2)) = g(-8)

Since -8 ≤ 0 then g(-8) = 2×(-8) + 1 = -16 + 1 = -15

<u><em>Conclusion</em></u>:

g(f(-2)) = -15

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Airida [17]

Answer:

25/50 = 5/10 = 1/2

Step-by-step explanation:

I hope it will be helpful

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Answer:

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Trapezoid ABCD has an area of 525 cm squared. If height AB = 21 cm and BC = 37 cm, what is the measure of AD?​
Annette [7]

Answer:

AD = 13

Step-by-step explanation:

Area of trapezoid ABCD

=  \frac{1}{2} (AB + AD) \times AB \\  \\  525=  \frac{1}{2} (37+ AD) \times21\\  \\  525 \times 2=  (37+ AD) \times21 \\  \\ 1050 = 21 \times 37 + 21AD \\  \\ 1050  = 777+ 21AD \\  \\  21AD  = 1050 - 777 \\  \\ 21AD  = 273 \\  \\ AD  =  \frac{273}{21}  \\  \\ AD  = 13

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2 years ago
PLEASE HELP! SO CONFUSED! 25 POINTS!!
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Answer:

D

Step-by-step explanation:

(f • g)(x)

= f(x) × g(x)

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each term in the second factor is multiplied by each term in the first factor , that is

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